151328

151,328 is a natural number that follows 151,327 and precedes 151,329. It is an even, composite integer and has several notable arithmetic properties that can be derived from its prime factorization.

The prime factorization of 151,328 is 2^5 × 4,729, where 4,729 is a prime number. From this factorization, the number has 12 positive divisors: 1, 2, 4, 8, 16, 32, 4,729, 9,458, 18,916, 37,832, 75,664, and 151,328. The divisor count follows the form (5+1)(1+1) for numbers of the type 2^a × p^b with p prime.

Sum of divisors and deficiency: the sum of all positive divisors, sigma(151,328), equals 297,990. Therefore the sum of proper divisors is 146,662. Since this is less than the number itself, 151,328 is a deficient number, with a deficiency of 4,666 (151,328 − 146,662).

Additional properties: the number is divisible by 32 but not by 64, reflecting the 2^5 factor in its prime decomposition. It is not a perfect square or a cube, since the exponents in its prime factorization (5 and 1) are not both even or both multiples of three. The sum of digits is 20, so the number is not divisible by 3 or 9, and it is not divisible by 5.

In binary, 151,328 ends with five zero bits due to the factor of 2^5. This combination of a prime factor times a power of two makes 151,328 a representative example of numbers with exactly 12 divisors.